imapsync - Console-based utility for migrating IMAP mailboxes.
doubleTwist - Music Player for the Internet of Things. Described as the iTunes for Android, doubleTwist brings you music, radio and podcasts everywhere. Free download.
OfflineIMAP - OfflineImap synchronizes email between an IMAP server and a MailDir or between two IMAP servers.
SyncMate - SyncMate is a Mac sync software which will sync Mac with Android, Nokia and Windows Mobile phones, iOS devices, other Macs, online accounts, etc.Android sync Mac - Devices - Free vs. Expert - SyncMate Customer Support .
Fetchmail - The Fetchmail Project
SyncMe - Copy, move, sync and backup your mp3, pictures and documents over WiFi, cellular VPN or wired...